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Finding the Fourth Proportional to 1,778.67, 2,454.75 and 1,115.55

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Solution

The fourth proportional to 1,778.67, 2,454.75 and 1,115.55 is: 1,539.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.67 : 2,454.75 = 1,115.55 : x
  2. Step 2: Convert to fraction form
    1,778.67/2,454.75 = 1,115.55/x
  3. Step 3: Cross multiply
    1,778.67x = 2,454.75 × 1,115.55
  4. Step 4: Simplify right side
    1,778.67x = 2,738,396.36
  5. Step 5: Solve for x
    x = 2,738,396.36/1,778.67
  6. Step 6: Final answer
    x = 1,539.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.